Solve for P
\left\{\begin{matrix}\\P=0\text{, }&\text{unconditionally}\\P\in \mathrm{R}\text{, }&W=0\end{matrix}\right.
Solve for W
\left\{\begin{matrix}\\W=0\text{, }&\text{unconditionally}\\W\in \mathrm{R}\text{, }&P=0\end{matrix}\right.
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\left(-P\right)W=\frac{\mathrm{d}}{\mathrm{d}x}(W)
Swap sides so that all variable terms are on the left hand side.
-PW=\frac{\mathrm{d}}{\mathrm{d}x}(W)
Reorder the terms.
\left(-W\right)P=0
The equation is in standard form.
P=0
Divide 0 by -W.
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